Properties

Label 12635.h
Number of curves $1$
Conductor $12635$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 12635.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12635.h1 12635g1 \([0, 0, 1, -2215457, -1268381713]\) \(196145197056/153125\) \(938819520725778125\) \([]\) \(273600\) \(2.3798\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12635.h1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12635.h do not have complex multiplication.

Modular form 12635.2.a.h

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + q^{5} + q^{7} - 3 q^{9} + 2 q^{10} + 3 q^{11} + 2 q^{14} - 4 q^{16} - 6 q^{18} + O(q^{20})\) Copy content Toggle raw display